Well the problem is the large cities taking up all capacity in the rivers and the people who suffer are the people on the coastlines of those lakes.
The capacity in the rivers, by and large, is not taken up by people on those coastlines.
And conservation, I bet, "somehow" misses this reality. So it attempts to protect things like tourism income at the further expense of the victims. But nobody, absolutely nobody is talking about denying cities the water they depend on (which will dry up anyway, but not for a while yet ...).
You see the problem is not global warming. The problem is those cities and countries that take away the resources these lakes depend on. If you calculate the resulting change in precipitation from the 1 degree or so of temperature change we've seen, that's not what's making the difference here. The difference is those cities.
But of course, we "need to conserve". And what do we mean by that, exactly ? Why, the victims of it, the people living on that coastline, those need to be forced to abandon their lives, because otherwise the tourism that the rest of country profits from (but not so much those people), could get hit ... first a bit, then a lot. That's what we mean by conservation.